How to sync iPhone without deleting other songs?

I have an iPhone 4, and have just recently replaced my old PC with a laptop which I have just downloaded iTunes for. I have over 200 songs on my iphone already, but when I signed into iTunes only the songs which I actually purchased from iTunes showed up. None of the one's from CD's and from third parties (most) have showed up. I have backed up the phone already but I can't add songs and sync without it deleting the songs I already have on there. Is there a way to transfer the songs from my phone to itunes so it appears in my library? Or a way to recover it? My PC has already been been taken apart so I can't do anything on that to send the files etc.

I think you'd better do a back up.

If you want to transfer your iPhone songs to iTunes, there are many ways you can try, such as iPubsoft, iStonsoft, Vibosoft, and so on. I just found these guides for you:
http://www.ipubsoft.com/iphone/transfer-music-from-iphone-to-itunes-library.html
http://www.istonsoft.com/iphone/how-to-transfer-music-from-iphone-to-itunes.html
http://www.vibosoft.com/ios/transfer-music-from-iphone-to-itunes-library.html

Hi, you can have a try with 4Videosoft iPhone Transfer Platinum to transfer iPhone music, movies, photos, etc. To computer or iTunes for backup. Since you want to transfer the iPhone songs to iTunes, you can try it. It's safe and it'll not delete anything on your iPhone. Very easy to use. Search more information on the website and have a free try.

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